What does it mean if a system of equations is 'consistent'?

A consistent system has at least one solution.

Given the solution to a system of equations is (3, -2), what does this point represent graphically?

The point where the two lines intersect.

10th Grade•55 minutes

I can solve a system of equations using substitution or elimination.

The substitution method is most useful when one of the equations has a variable with a coefficient of 1 or -1.

When using substitution, you isolate one variable in one equation and substitute the expression into the other equation.

After substituting, you'll have an equation with only one variable, which you can then solve to find the value of that variable.

This lesson includes 12 practice questions to reinforce learning.

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1. When is substitution the most beneficial method for solving a system of equations?

2. In the system of equations: x + 3y = 7 and 2x + y = 4, which variable would be easiest to solve for first using substitution? Explain why.

3. Solve the following system of equations using substitution: y = x + 1; 3x + y = 5

...and 9 more questions

Learn to solve a system of equations using substitution

Brian McLogan